Local scale-invariances in the bosonic contact and pair-contact processes
Baumann, Florian ; Stoimenov, Stoimen ; Henkel, Malte
arXiv, 0510778 / Harvested from arXiv
Text on arXiv
Local scale-invariance for ageing systems without detailed balance is tested through studying the dynamical symmetries of the critical bosonic contact process and the critical bosonic pair-contact process.Their field-theoretical actions can be split into a Schr\"odinger-invariant term and a pure noise term. It is shown that the two-time response and correlation functions are reducible to certain multipoint response functions which depend only on the Schr\"odinger-invariant part of the action. For the bosonic contact process, the representation of the Schr\"odinger group can be derived from the free diffusion equation, whereas for the bosonic pair-contact process, a new representation of the Schr\"odinger group related to a non-linear Schr\"odinger equation with dimensionful couplings is constructed. The resulting predictions of local scale-invariance for the two-time responses and correlators are completely consistent with the exactly-known results in both models.
Publié le : 2005-10-28
Classification:  Condensed Matter - Statistical Mechanics,  High Energy Physics - Theory,  Mathematical Physics 
@article{0510778,
     author = {Baumann, Florian and Stoimenov, Stoimen and Henkel, Malte},
     title = {Local scale-invariances in the bosonic contact and pair-contact
  processes},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0510778}
}

Baumann, Florian; Stoimenov, Stoimen; Henkel, Malte. Local scale-invariances in the bosonic contact and pair-contact
  processes. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0510778/